Quality of spatial entanglement propagation
Quality of spatial entanglement propagation
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DOI：
10.1103/physreva.95.063836
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发表时间：
2017-06-22
影响因子：
2.9
通讯作者：
Fleischer, Jason W.
中科院分区：
文献类型：
--
作者：
Reichert, Matthew;Sun, Xiaohang;Fleischer, Jason W.
我们探索，从实验和理论上，空间纠缠光子对（双光子）的传播动力学。纠缠的表征是通过施密特数来完成的，施密特数是对纠缠度的普遍度量，与状态到其子系统的不可分离性直接相关。我们开发的施密特数，依赖于常用的双高斯近似的双光子波函数的振幅和相位的条款的表达式，并证明迁移的振幅和相位之间的纠缠传播。然后，我们扩展此分析，将在泵浦光束和更高的空间频率内容的更现实的非高斯波函数的相位曲率。具体来说，我们推广的经典光束质量参数M-2的双光子，允许更多的信息丰富的光束和更复杂的动力学的描述。协议被发现与实验测量使用直接成像和傅立叶光学。
We explore, both experimentally and theoretically, the propagation dynamics of spatially entangled photon pairs (biphotons). Characterization of entanglement is done via the Schmidt number, which is a universal measurement of the degree of entanglement directly related to the nonseparability of the state into its subsystems. We develop expressions for the terms of the Schmidt number that depend on the amplitude and phase of the commonly used double-Gaussian approximation for the biphoton wave function, and demonstrate migration of entanglement between amplitude and phase upon propagation. We then extend this analysis to incorporate both phase curvature in the pump beam and higher spatial frequency content of more realistic non-Gaussian wave functions. Specifically, we generalize the classical beam quality parameter M-2 to the biphotons, allowing the description of more information-rich beams and more complex dynamics. Agreement is found with experimental measurements using direct imaging and Fourier optics.